Office: Academic Affairs Building, Room A2-1020
Office Hours: Refer my class timetable for available slot for appointment.


UNDERGRADUATE

No. Course Code Course Name
1. MAT037 Essential Mathematics
2. MAT111 Mathematics with Business Applications
3. MAT112 Business Mathematics
4. MAT402 Business Mathematics (Degree Level)
5. QMT335 Introduction to Time Series Forecasting
6. QMT339 Spreadsheet Modeling and Decision Analysis

TIMETABLE

MAC 2019

TIME / DAY Sunday Monday Tuesday Wednesday Thursday
8 - 9 STA104 (KAC1102F) MAT112 (KAM1101R)
9 - 10 STA104 (KAC1102F) MAT112 (KAM1101R)
10 - 11 QMT181 (KBA1193A)
11 - 12 QMT181 (KBA1193A)
12 - 1 MAT112 (KBA1111R1) QMT181 (KBA1193A) MAT112 (KAM1101R)
1 - 2 MAT112 (KBA1111R1) QMT181 (KBA1193A) MAT112 (KAM1101R)
2 - 3
3 - 4
4 - 5 MAT112 (KBA1111R1) STA104 (KAC1102F)
5 - 6 MAT112 (KBA1111R1) STA104 (KAC1102F)

||


SEPTEMBER 2019

TIME / DAY Sunday Monday Tuesday Wednesday Thursday
8 - 10 MAT112 (KAM1101I) MAT112 (KAM1101I) MAT112 (KAM1101J)
10 - 12 MAT112 (KAC1101F) MAT112 (KBA1191C) MAT112 (KBA1191C)
12 - 2 MAT112 (KBA1191F) MAT112 (KBA1191F) MAT112 (KAC1101F)
2 - 4
4 - 6 MAT112 (KBA1101J)

||


OCT 2020 - FEB 2021 (20204)

||


20212

||


20214

||


COURSE DETAILS

MAT111

Course Information

Course Learning Outcomes

At the end of the course, students should be able to:
1. Solve basic mathematical problems. ( C3 A1 P2 )
2. Apply mathematical concepts to solve mathematical problems in finance and banking. ( C4 A1 P2 )
3. Apply mathematical concepts to solve mathematical problems in trading and retailing. ( C5 P2 A1 )

Course Description

The course is primarily designed to strengthen the fundamental concepts of mathematics with emphasis on business application and problem solving.

Syllabus Content

  1. Fundamental Concepts Of Mathematics
    1. Introduction to arithmetic operations
    2. Linear Equations
    3. Fractions, decimals, ratios and percentages
  2. Simple Interest
    1. Simple Interest and Bank Discount
    2. Present Value, Rate and Time
    3. Applications of Simple Interest and Bank Discount
  3. Compound Interest
    1. Compound Interest and Compound Amount
    2. Present Value
    3. Applications of Compound Interest
  4. Business Loans and Instalment Purchase
    1. Discounted Loan
    2. Flat Rate Loan
    3. Reducing Balance Loan
    4. Instalment purchase
  5. Mathematics of Trading
    1. Trade Discount
    2. Single discount equivalent
    3. Cash discount
  6. Mathematics of Retailing
    1. Mark up and mark down
    2. Gross profit, net profit and break even price

References

  1. Lau Too Kya, Phang Yook Ngor and Wee Kok Kiang, Business Mathematics for UiTM, 4th, Oxford Fajar Sdn. Bhd., ISBN: 9789676571601.
  2. James Deitz,James Southam, Contemporary Business Mathematics for Colleges, 16th, Cengage Learning, 2012, ISBN: 1111821321.
  3. Jeffrey Slater,Sharon M. Wittry, Math for Business and Finance, McGraw-Hill, 2014, ISBN: 9780077662622.
  4. Stanley A. Salzman,Gary Clendenen, Mathematics for Business, 10th, Addison-Wesley Longman, 2012, ISBN: 9780132898355.

Course Assessment

Final examination – One 3-hour paper : 60%
Course Work (Continuous assessments) : 40%
- Test (3) : 30%
- Quizzes (4) : 10%


Continuous Assessment Marks

KBA1111D

Continuous Assessment
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Test 3 Quiz 2 Quiz 4 Quiz 1 Quiz 3 CM
1 2018638116 100 69 100 100 100 100 100 36.9
2 2018248082 84 45 85 80 90 85 85 29.9
3 2018655806 70 94 97 95 90 85 85 34.9
4 2018444178 99 92 82 100 100 90 90 36.7
5 2018279402 92 75 79 85 80 90 90 33.3
6 2018242762 69 57 92 70 80 90 90 30.2
7 2018639868 77 64 89 85 75 100 100 32.2
8 2018423128 100 89 97 90 90 80 80 37.0
9 2018420636 39 20 45 100 80 75 75 18.5
10 2018655812 99 100 97 85 95 75 75 37.7
11 2018443488 70 75 74 100 95 75 75 30.3
12 2018209264 62 49 34 85 90 90 90 23.4
13 2018807132 70 39 87 80 75 80 80 27.5
14 2018652774 65 70 80 70 90 75 75 29.2
15 2018699944 72 39 35 95 100 75 75 23.0
16 2018220388 80 92 100 95 80 80 80 35.5
17 2018671466 84 89 94 70 95 85 85 35.1
18 2018807082 77 52 85 80 95 85 85 30.0
19 2018282816 80 70 85 90 90 75 75 31.6
20 2018658586 40 32 75 85 90 75 75 22.7
21 2018659334 52 49 54 85 75 100 100 24.7
22 2018241854 45 40 87 90 80 80 80 25.4
23 2018239682 97 72 100 90 75 100 100 36.2
24 2018419784 95 94 92 70 75 80 80 35.8
25 2018633932 80 79 100 75 100 100 100 35.4
26 2018659306 65 59 59 90 80 75 75 26.2
27 2018434388 50 37 40 90 80 75 75 20.6
Performance Summary
Performance Summary
Test 1 Test 2 Test 3 Quiz 2 Quiz 4 Quiz 1 Quiz 3 CM
Min. : 39.00 Min. : 20.00 Min. : 34.00 Min. : 70.0 Min. : 75.00 Min. : 75.00 Min. : 75.00 Min. :18.50
1st Qu.: 65.00 1st Qu.: 47.00 1st Qu.: 74.50 1st Qu.: 80.0 1st Qu.: 80.00 1st Qu.: 75.00 1st Qu.: 75.00 1st Qu.:25.80
Median : 77.00 Median : 69.00 Median : 85.00 Median : 85.0 Median : 90.00 Median : 80.00 Median : 80.00 Median :30.30
Mean : 74.56 Mean : 64.52 Mean : 79.41 Mean : 86.3 Mean : 86.85 Mean : 84.26 Mean : 84.26 Mean :30.37
3rd Qu.: 88.00 3rd Qu.: 84.00 3rd Qu.: 95.50 3rd Qu.: 92.5 3rd Qu.: 95.00 3rd Qu.: 90.00 3rd Qu.: 90.00 3rd Qu.:35.45
Max. :100.00 Max. :100.00 Max. :100.00 Max. :100.0 Max. :100.00 Max. :100.00 Max. :100.00 Max. :37.70

MAT112

Course Information

Course Outcomes

At the end of the course, students should be able to:
• Understand and describe mathematical terms encountered in business, finance and investment. (C2, P3, A3)
• Solve basic mathematical problems involving sequence. (C3, P3, A3)
• Apply mathematical concepts to solve mathematical problems in other areas such as business, statistics, finance, economics, etc. (C5, P3, A3)

Course Description

The course is primarily designed to develop the mathematical knowledge needed by the students to meet the demands of business operation. It is to provide a solid coverage of the most basic and frequently occurring business situations.

Syllabus Content

  1. Sequence Presentation Download
    • Introduction to sequence
    • Arithmetic sequence
    • Finding the nth term and the sum of the first n terms
    • Geometric sequence
    • Finding the nth term and the sum of the first n terms

  2. Simple Interest Presentation Download
    • Introduction to interest
    • Simple interest formula
    • Simple amount formula
    • Exact time and approximate time
    • Ordinary simple interest and exact simple interest
    • Banker’s Rule
    • Present Value

  3. Bank Discount and Promissory Notes Presentation Download
    • Introduction to promissory notes
    • Introduction to bank discount
    • Simple interest rate equivalent to bank discount rate

  4. Compound Interest
    • Time value of money
    • Introduction to compound interest
    • Important terms use in compound interest
    • Compound interest formula
    • Present Value

  5. Annuity
    • Introduction to annuity and types of annuities
    • Future value of ordinary annuity certain
    • Present value of ordinary annuity certain
    • Solving for R and n. 

  6. Installment Purchase
    • Introduction to installment purchase
    • Interest based on original balance
    • Interest based on reducing balance – constant ratio formula
    • Unpaid principal balance using Rule of 78

  7. Trade and Cash Discounts
    • Introduction to trade discount
    • Net price formula
    • Chain discount
    • Single discount equivalent to chain discount
    • Cash discount

  8. Mathematics of Retailing
    • Cost, selling price, profit, loss
    • Mark up and mark down
    • Profit and loss: Gross profit, net profit and breakeven price
    • Trade discount & Mathematics of retailing

  9. Depreciation
    • Introduction to depreciation
    • Straight line method
    • Declining balance method

References

Recommended Text
Lau Too Kya, Phang Yook Ngor and Wee Kok Kiang, Business Mathematics for UiTM 3rd edition, Fajar Bakti, 2009

References

Frank Ayers, Mathematics of Finance, Schaum Series, McGraw-Hill Book Company, 1997
Charles D. Miller, Stanley A. Salzman, Gary Clendenen, Business Mathematics, 7th edition, Addision Wesley, 1997
Deitz and Southam, Contemporary Business Mathematics for Colleges, 12th edition, ITP, 1999.
Mohd Alias Lazim, Azizah Murad, Wan Hartini Wan Hassan. Matematik Perniagaan. Biroteks.

Course Assessment

Final examination – One 3-hour paper : 60%
Course Work (Continuous assessments) : 40%
- Test (2) : 30%
- Quizzes (3) : 6%
- Assignment (1): 4%

Support Materials

Past Semester Exam Papers Answer Scheme
June 2019 Answer Scheme June 2019
Dec 2018 Answer Scheme Dec 2018
Jan 2018 Answer Scheme Jan 2018

Past Test Paper With Answers
Test 2 Dec 2019
Test 1 Nov 2019

Workshops Questions With Answers
Nov 2019 Session 1 Answers

Nov 2019 Session 2 Answers

Continuous Assessment Marks

Semester 20192

KBA1111E
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz Assignment CM
1 2018242234 65 74 6 22.5 29.9
2 2018271588 38 30 4 21.5 17.1
3 2018633384 55 59 5 23.0 25.2
4 2018272212 79 88 6 22.0 34.0
5 2018413816 31 37 4 23.0 17.3
6 2018410072 87 85 6 22.0 34.7
7 2018296772 85 95 6 22.5 36.0
8 2018413124 72 80 6 22.5 31.8
9 2018413458 56 55 6 22.0 25.6
10 2018426856 32 42 4 21.5 18.0
11 2018241022 56 57 4 18.0 23.4
12 2018639748 86 100 5 22.5 35.9
13 2018285338 90 84 6 18.0 34.5
14 2018256458 95 98 5 22.5 37.0
15 2018211454 86 85 5 18.0 33.1
16 2018239458 83 100 5 22.5 35.5
17 2018405706 98 100 6 22.5 38.7
18 2018409308 80 80 4 18.0 30.4
19 2018416636 57 58 6 21.5 26.1
20 2018231208 88 92 5 23.0 35.1
21 2018429102 65 64 4 23.0 26.4
22 2018244194 76 77 4 22.0 29.9
23 2018416436 79 75 4 22.0 30.0
24 2018673146 71 72 5 22.0 29.4
25 2018428266 79 73 5 23.0 30.9
26 2018655382 57 58 4 22.5 24.3
27 2018696446 68 65 5 23.0 28.0
28 2018696462 82 87 6 22.5 34.4
29 2018253544 59 55 5 21.5 25.0
Performance Summary
Test 1 Test 2 Quiz Assignment CM
Min. :31.00 Min. : 30.00 Min. :4.000 Min. :18.00 Min. :17.10
1st Qu.:57.00 1st Qu.: 58.00 1st Qu.:4.000 1st Qu.:21.50 1st Qu.:25.60
Median :76.00 Median : 75.00 Median :5.000 Median :22.50 Median :30.00
Mean :70.86 Mean : 73.28 Mean :5.034 Mean :21.74 Mean :29.57
3rd Qu.:85.00 3rd Qu.: 87.00 3rd Qu.:6.000 3rd Qu.:22.50 3rd Qu.:34.50
Max. :98.00 Max. :100.00 Max. :6.000 Max. :23.00 Max. :38.70
## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                             
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##                                 Statistic       df          p            Mean difference    SE difference                 Effect Size   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Test 1        Student's t     2.7689188      27.00000    0.9949790        18.48809524        6.6770088    Cohen's d     1.15041512   
##    Test 2        Student's t     2.8412652      27.00000    0.9957765        20.33333333        7.1564362    Cohen's d     1.18047320   
##    Quiz          Student's t    -0.1368001      27.00000    0.4461019        -0.04761905        0.3480923    Cohen's d    -0.05683694   
##    Assignment    Student's t    -3.7676351 <U+1D43>    27.00000    0.0004078        -2.05952381        0.5466357    Cohen's d    -1.56535626   
##    CM            Student's t     2.4216535      27.00000    0.9887791         5.51011905        2.2753541    Cohen's d     1.00613523   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
##    <U+1D43> Levene's test is significant (p < .05), suggesting a violation of the assumption of equal variances
## 
## 
##  Group Descriptives                                                                 
##  ---------------------------------------------------------------------------------- 
##                  Group    N     Mean         Median       SD            SE          
##  ---------------------------------------------------------------------------------- 
##    Test 1        L         8    84.250000    86.000000    12.8813265    4.5542366   
##                  P        21    65.761905    68.000000    17.0467145    3.7198981   
##                                                                                     
##    Test 2        L         8    88.000000    91.500000    15.0332964    5.3150729   
##                  P        21    67.666667    72.000000    17.9285619    3.9123330   
##                                                                                     
##    Quiz          L         8     5.000000     5.000000     0.7559289    0.2672612   
##                  P        21     5.047619     5.000000     0.8646497    0.1886820   
##                                                                                     
##    Assignment    L         8    20.250000    20.250000     2.4053512    0.8504201   
##                  P        21    22.309524    22.500000     0.5584843    0.1218713   
##                                                                                     
##    CM            L         8    33.562500    35.000000     4.8077133    1.6997833   
##                  P        21    28.052381    29.400000     5.6920663    1.2421107   
##  ----------------------------------------------------------------------------------
Gallery
KBA1191C
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz Assignment CM
1 2018240978 96 93 5 19.5 35.95
2 2018428184 74 84 6 19.5 32.30
3 2018241882 59 58 4 23.5 24.68
4 2018291752 68 64 4 19.5 26.40
5 2018697824 95 94 5 23.5 36.48
6 2018257326 56 55 4 23.5 23.78
7 2018269886 92 83 4 19.5 32.85
8 2018215446 59 59 6 19.5 26.30
9 2018655986 83 93 6 23.5 35.53
10 2018661938 40 48 4 18.5 19.67
11 2018253136 70 62 5 19.0 27.33
12 2018241216 48 44 5 20.0 21.47
13 2018291026 92 85 5 20.5 34.28
14 2018269968 73 67 6 20.5 29.73
15 2018256108 96 95 4 20.5 35.38
16 2018416134 96 78 6 23.5 35.23
17 2018429134 91 94 6 19.0 36.28
18 2018291192 99 99 5 19.0 37.23
19 2018404588 91 89 6 20.0 35.67
20 2018232088 92 87 6 23.5 35.98
21 2018242086 52 59 5 19.0 24.18
22 2018235964 90 93 6 20.0 36.12
23 2018240114 51 52 6 20.5 24.18
24 2018410898 77 92 6 20.5 34.08
25 2018675422 42 53 6 20.0 22.92
26 2018255974 76 79 6 19.0 31.78
27 2018229232 51 55 4 18.5 22.37
28 2018254016 51 59 5 18.5 23.97
29 2018675326 30 38 4 18.5 16.67
30 2018691826 51 54 4 18.5 22.22
31 2018256954 41 54 6 20.0 22.92
Performance Summary
Test 1 Test 2 Quiz Assignment CM
Min. :30.00 Min. :38.00 Min. :4.000 Min. :18.50 Min. :16.67
1st Qu.:51.00 1st Qu.:55.00 1st Qu.:4.000 1st Qu.:19.00 1st Qu.:23.88
Median :73.00 Median :67.00 Median :5.000 Median :20.00 Median :29.73
Mean :70.39 Mean :71.58 Mean :5.161 Mean :20.27 Mean :29.16
3rd Qu.:91.50 3rd Qu.:90.50 3rd Qu.:6.000 3rd Qu.:20.50 3rd Qu.:35.45
Max. :99.00 Max. :99.00 Max. :6.000 Max. :23.50 Max. :37.23
## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                           
##  ------------------------------------------------------------------------------------------------------------------------------------ 
##                                 Statistic     df          p            Mean difference    SE difference                 Effect Size   
##  ------------------------------------------------------------------------------------------------------------------------------------ 
##    Test 1        Student's t     0.6932653    29.00000    0.7531707          6.0489130        8.7252494    Cohen's d      0.2845584   
##    Test 2        Student's t     0.3776024    29.00000    0.6457622          2.9239130        7.7433646    Cohen's d      0.1549911   
##    Quiz          Student's t    -1.6114563    29.00000    0.0589561         -0.5543478        0.3440043    Cohen's d     -0.6614400   
##    Assignment    Student's t     1.3983787    29.00000    0.9136987          0.9782609        0.6995679    Cohen's d      0.5739800   
##    CM            Student's t     0.3537829    29.00000    0.6369696          0.9211957        2.6038446    Cohen's d      0.1452141   
##  ------------------------------------------------------------------------------------------------------------------------------------ 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
## 
## 
##  Group Descriptives                                                                 
##  ---------------------------------------------------------------------------------- 
##                  Group    N     Mean         Median       SD            SE          
##  ---------------------------------------------------------------------------------- 
##    Test 1        L         8    74.875000    71.000000    17.1250652    6.0546249   
##                  P        23    68.826087    73.000000    22.4127646    4.6733845   
##                                                                                     
##    Test 2        L         8    73.750000    73.500000    16.4033969    5.7994766   
##                  P        23    70.826087    67.000000    19.5835092    4.0834440   
##                                                                                     
##    Quiz          L         8     4.750000     4.500000     0.8864053    0.3133916   
##                  P        23     5.304348     6.000000     0.8221249    0.1714249   
##                                                                                     
##    Assignment    L         8    21.000000    19.500000     2.0701967    0.7319251   
##                  P        23    20.021739    20.000000     1.5701640    0.3274018   
##                                                                                     
##    CM            L         8    29.842500    29.350000     5.1304100    1.8138739   
##                  P        23    28.921304    29.730000     6.6837260    1.3936532   
##  ----------------------------------------------------------------------------------
Gallery
KBA1191D
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz Assignment CM
1 2018241724 58 49 6 22.5 25.1
2 2018257466 86 88 6 22.5 35.1
3 2018443024 84 100 6 26.5 37.1
4 2018278466 67 60 5 22.5 27.1
5 2018242106 81 82 6 26.5 34.0
6 2018659492 70 73 5 26.5 30.0
7 2018278066 37 30 4 22.5 17.1
8 2018290614 82 80 4 26.5 31.8
9 2018218788 95 100 6 26.5 38.8
10 2018632744 63 60 6 22.5 27.5
11 2018661322 77 77 5 21.5 31.0
12 2018256946 81 88 5 24.0 33.6
13 2018293964 60 58 6 24.0 26.9
14 2018410934 87 79 6 24.0 34.1
15 2018256064 91 98 6 22.5 37.4
16 2018293966 98 100 6 23.5 38.8
17 2018277088 80 85 6 22.5 33.8
18 2018672576 77 85 6 25.0 33.6
19 2018215602 81 88 6 21.5 34.2
20 2018639902 67 60 4 25.0 26.4
21 2018253122 54 60 6 25.0 26.4
22 2018429348 79 79 4 21.5 30.6
23 2018267062 58 60 5 22.5 25.7
24 2018244312 86 100 6 25.0 37.2
25 2018229006 86 82 5 24.0 33.4
26 2018253464 94 98 4 23.5 35.9
27 2018407396 94 84 5 21.5 34.6
28 2018681602 56 53 4 21.5 23.2
29 2018417302 60 62 6 22.5 27.3
30 2018660954 69 60 6 22.5 28.4
31 2018257486 53 50 4 25.0 22.8
32 2018242096 67 63 6 23.5 28.6
33 2018279284 81 100 6 23.5 36.3
Performance Summary
Test 1 Test 2 Quiz Assignment CM
Min. :37.00 Min. : 30.00 Min. :4.000 Min. :21.50 Min. :17.10
1st Qu.:63.00 1st Qu.: 60.00 1st Qu.:5.000 1st Qu.:22.50 1st Qu.:27.10
Median :79.00 Median : 79.00 Median :6.000 Median :23.50 Median :31.80
Mean :74.52 Mean : 75.48 Mean :5.364 Mean :23.64 Mean :31.02
3rd Qu.:86.00 3rd Qu.: 88.00 3rd Qu.:6.000 3rd Qu.:25.00 3rd Qu.:34.60
Max. :98.00 Max. :100.00 Max. :6.000 Max. :26.50 Max. :38.80
## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                             
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##                                 Statistic       df          p            Mean difference    SE difference                 Effect Size   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Test 1        Student's t    -0.5659543      31.00000    0.2877496        -3.17826087        5.6157549    Cohen's d    -0.21437515   
##    Test 2        Student's t    -0.6686827      31.00000    0.2543235        -4.71304348        7.0482515    Cohen's d    -0.25328712   
##    Quiz          Student's t     0.1649452      31.00000    0.5649710         0.05217391        0.3163107    Cohen's d     0.06247879   
##    Assignment    Student's t     2.0901836 <U+1D43>    31.00000    0.9775518         1.23913043        0.5928333    Cohen's d     0.79173072   
##    CM            Student's t    -0.4753331      31.00000    0.3189409        -0.95304348        2.0050012    Cohen's d    -0.18004917   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
##    <U+1D43> Levene's test is significant (p < .05), suggesting a violation of the assumption of equal variances
## 
## 
##  Group Descriptives                                                                 
##  ---------------------------------------------------------------------------------- 
##                  Group    N     Mean         Median       SD            SE          
##  ---------------------------------------------------------------------------------- 
##    Test 1        L        10    72.300000    75.500000    16.9315616    5.3542299   
##                  P        23    75.478261    79.000000    13.8723714    2.8925894   
##                                                                                     
##    Test 2        L        10    72.200000    76.500000    22.5329389    7.1255409   
##                  P        23    76.913043    79.000000    16.7383964    3.4901969   
##                                                                                     
##    Quiz          L        10     5.400000     6.000000     0.8432740    0.2666667   
##                  P        23     5.347826     6.000000     0.8316848    0.1734183   
##                                                                                     
##    Assignment    L        10    24.500000    24.500000     2.1081851    0.6666667   
##                  P        23    23.260870    23.500000     1.2780451    0.2664908   
##                                                                                     
##    CM            L        10    30.360000    30.900000     6.4711668    2.0463626   
##                  P        23    31.313043    33.400000     4.7275118    0.9857543   
##  ----------------------------------------------------------------------------------
Gallery
KAC1101E
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz Assignment CM
1 2018658758 84 92 6 23.5 35.5
2 2018691334 94 96 6 20.5 37.2
3 2018230796 95 99 6 20.0 37.8
4 2018293778 98 99 6 26.0 39.0
5 2018280412 100 97 6 20.0 38.2
6 2018230712 99 93 6 26.0 38.3
7 2018293676 69 62 5 23.5 27.8
8 2018269128 96 98 6 23.5 38.2
9 2018643006 76 76 6 23.5 31.9
10 2018215998 75 88 6 23.5 33.6
11 2018671834 98 100 6 20.5 38.4
12 2018239474 96 95 6 20.0 37.3
13 2018253908 98 100 5 23.0 37.8
14 2018255918 89 85 5 20.5 33.8
15 2018675368 97 100 5 26.0 38.0
16 2018213646 87 93 5 26.0 35.5
17 2018213686 95 96 6 23.0 37.7
18 2018210308 84 87 6 20.0 34.3
19 2018255752 94 99 6 20.5 37.7
20 2018242322 96 99 6 23.0 38.3
21 2018684514 70 80 6 20.0 31.2
22 2018281262 91 100 6 26.0 38.1
23 2018420362 100 100 6 20.5 38.7
24 2018281904 97 95 6 23.0 37.9
25 2018293922 77 92 6 20.5 34.1
26 2018681914 99 100 6 23.0 38.9
Performance Summary
Test 1 Test 2 Quiz Assignment CM
Min. : 69.00 Min. : 62.00 Min. :5.000 Min. :20.00 Min. :27.80
1st Qu.: 84.75 1st Qu.: 92.00 1st Qu.:6.000 1st Qu.:20.50 1st Qu.:34.60
Median : 95.00 Median : 96.00 Median :6.000 Median :23.00 Median :37.75
Mean : 90.54 Mean : 93.12 Mean :5.808 Mean :22.52 Mean :36.35
3rd Qu.: 97.75 3rd Qu.: 99.00 3rd Qu.:6.000 3rd Qu.:23.50 3rd Qu.:38.20
Max. :100.00 Max. :100.00 Max. :6.000 Max. :26.00 Max. :39.00
## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                              
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##                                 Statistic        df          p            Mean difference    SE difference                 Effect Size   
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##    Test 1        Student's t    -3.15185532      24.00000    0.0021572      -13.047619048        4.1396631    Cohen's d    -1.56840529   
##    Test 2        Student's t    -3.18264975 <U+1D43>    24.00000    0.0020027      -12.276190476        3.8572232    Cohen's d    -1.58372901   
##    Quiz          Student's t    -0.04665906      24.00000    0.4815855       -0.009523810        0.2041149    Cohen's d    -0.02321817   
##    Assignment    Student's t     1.10621520 <U+1D43>    24.00000    0.8602005        1.214285714        1.0976939    Cohen's d     0.55046745   
##    CM            Student's t    -2.98433303      24.00000    0.0032204       -3.657142857        1.2254473    Cohen's d    -1.48504396   
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
##    <U+1D43> Levene's test is significant (p < .05), suggesting a violation of the assumption of equal variances
## 
## 
##  Group Descriptives                                                                  
##  ----------------------------------------------------------------------------------- 
##                  Group    N     Mean         Median       SD            SE           
##  ----------------------------------------------------------------------------------- 
##    Test 1        L         5    80.000000    76.000000    10.4163333     4.6583259   
##                  P        21    93.047619    96.000000     7.8324721    1.70918553   
##                                                                                      
##    Test 2        L         5    83.200000    88.000000    14.3248037     6.4062470   
##                  P        21    95.476190    97.000000     5.5733208    1.21619831   
##                                                                                      
##    Quiz          L         5     5.800000     6.000000     0.4472136     0.2000000   
##                  P        21     5.809524     6.000000     0.4023739    0.08780519   
##                                                                                      
##    Assignment    L         5    23.500000    23.500000     0.0000000     0.0000000   
##                  P        21    22.285714    20.500000     2.4164614    0.52731511   
##                                                                                      
##    CM            L         5    33.400000    33.600000     3.9083244     1.7478558   
##                  P        21    37.057143    37.800000     2.0548896    0.44841368   
##  -----------------------------------------------------------------------------------

Semester 20194

KAC1101F
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%) Final Exam Score (Grade “C”)
1 2019225546 46.3 65.0 9.5 10.0 10.0 10 26.595 39
2 2019216608 58.8 56.3 9.0 5.0 10.0 10 26.065 40
3 2019240356 42.5 10.0 5.0 5.0 10.0 10 15.875 57
4 2019805944 12.5 16.3 3.0 4.0 10.0 10 11.720 64
5 2019277544 92.5 100.0 10.0 10.0 10.0 10 38.875 19
6 2019401804 93.8 100.0 10.0 8.5 10.0 10 38.770 19
7 2019442704 78.8 98.8 10.0 10.0 10.0 10 36.640 22
8 2019279064 100.0 100.0 10.0 10.0 10.0 10 40.000 17
9 2019265692 90.0 60.0 10.0 5.0 10.0 10 31.500 31
10 2019289478 80.0 100.0 8.0 10.0 10.0 10 36.600 22
11 2019806386 62.5 81.3 10.0 5.5 10.0 10 30.670 32
12 2019202354 13.8 21.3 4.0 5.0 10.0 10 13.065 62
13 2019435688 46.3 37.5 6.0 5.5 8.5 10 20.570 49
14 2019276536 71.3 63.8 10.0 7.0 10.0 10 29.665 34
15 2019432164 60.0 62.5 3.0 6.5 10.0 10 26.275 40
16 2019209802 71.3 58.8 10.0 5.0 10.0 10 28.515 36
17 2019215412 87.5 100.0 10.0 9.0 10.0 10 37.925 20
18 2019216094 60.0 80.0 4.0 5.0 10.0 10 28.800 35
19 2019431216 98.8 100.0 10.0 10.0 10.0 10 39.820 17
20 2019404176 92.5 81.3 10.0 10.0 10.0 10 36.070 23
21 2019425682 46.3 32.5 10.0 6.0 10.0 10 21.020 48
22 2019212678 83.8 62.5 10.0 10.0 10.0 10 31.945 30
23 2019247062 26.3 47.5 5.0 4.5 10.0 10 18.970 52
24 2019236298 41.3 76.3 3.0 6.0 10.0 10 25.440 41
25 2019434786 87.5 97.5 10.0 8.5 10.0 10 37.450 21
26 2019411714 97.5 97.5 6.0 9.0 10.0 10 38.250 20
27 2019430164 87.5 90.0 5.0 7.5 10.0 10 35.125 25
28 2019431146 77.5 87.5 10.0 8.0 10.0 10 34.350 26
Performance Summary
Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%)
Min. : 12.50 Min. : 10.00 Min. : 3.000 Min. : 4.000 Min. : 8.500 Min. :10 Min. :11.72
1st Qu.: 46.30 1st Qu.: 58.17 1st Qu.: 5.000 1st Qu.: 5.000 1st Qu.:10.000 1st Qu.:10 1st Qu.:25.91
Median : 74.40 Median : 78.15 Median :10.000 Median : 7.250 Median :10.000 Median :10 Median :31.09
Mean : 68.10 Mean : 70.86 Mean : 7.875 Mean : 7.339 Mean : 9.946 Mean :10 Mean :29.88
3rd Qu.: 88.12 3rd Qu.: 97.83 3rd Qu.:10.000 3rd Qu.:10.000 3rd Qu.:10.000 3rd Qu.:10 3rd Qu.:36.84
Max. :100.00 Max. :100.00 Max. :10.000 Max. :10.000 Max. :10.000 Max. :10 Max. :40.00

KAM1101I
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%) Final Exam Score (Grade “C”)
1 2019237252 72.5 100.0 10.0 5.5 10.0 10 34.975 25
2 2019835746 10.0 28.8 4.0 1.0 5.0 10 11.820 64
3 2019445516 27.5 23.8 10.0 NA 10.0 10 15.695 57
4 2019227716 88.8 76.3 10.0 5.5 10.0 10 33.865 27
5 2019279048 95.0 72.5 10.0 6.0 10.0 10 34.325 26
6 2019855964 5.0 5.0 3.0 3.5 5.5 10 7.900 70
7 2019686532 7.5 18.8 6.0 3.5 10.0 10 11.845 64
8 2019488014 48.8 58.8 10.0 NA 10.0 10 24.140 43
9 2019467822 33.8 45.0 10.0 3.5 10.0 10 20.520 49
10 2018434736 45.0 30.0 NA NA 10.0 10 17.250 55
11 2019288952 21.3 11.3 4.0 1.5 3.5 10 10.690 66
12 2019838002 31.3 22.5 10.0 4.0 NA 10 14.870 59
13 2019208694 41.3 31.3 6.0 NA NA 10 16.090 57
14 2018893058 42.5 2.5 NA NA NA 10 10.750 65
15 2019482784 30.0 NA 10.0 2.5 5.5 10 12.100 63
16 2019421066 47.5 10.0 5.0 1.5 8.0 10 15.525 57
17 2019432706 25.0 40.0 6.0 5.5 7.5 10 17.550 54
18 2019443026 71.3 2.3 6.0 10.0 7.0 10 19.640 51
19 2019853756 7.5 10.0 3.0 3.5 10.0 10 9.925 67
20 2019439338 28.8 27.5 5.5 2.0 5.5 10 15.045 58
21 2019210568 13.8 50.0 7.5 5.5 10.0 10 18.170 53
22 2019445768 32.5 22.5 3.0 6.0 10.0 10 16.050 57
23 2019402974 40.0 30.0 10.0 6.0 10.0 10 19.700 51
24 2019692922 2.5 15.0 3.0 3.5 6.5 10 9.225 68
25 2019427242 82.5 75.0 10.0 6.0 10.0 10 32.825 29
26 2019429318 32.5 33.8 3.0 3.5 10.0 10 17.245 55
27 2019219968 31.3 17.5 6.0 4.0 10.0 10 15.320 58
28 2019498462 35.0 6.3 7.0 4.0 6.5 10 13.695 61
29 2019292136 30.0 32.5 5.0 5.0 8.5 10 17.075 55
30 2018271968 NA NA NA NA NA NA 0.000 83
31 2019430544 41.3 77.5 8.0 4.5 5.5 10 25.420 41
32 2018291558 52.5 46.3 3.0 2.5 8.5 10 21.620 47
Performance Summary
Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%)
Min. : 2.50 Min. : 2.30 Min. : 3.00 Min. : 1.000 Min. : 3.500 Min. :10 Min. : 0.00
1st Qu.:26.25 1st Qu.: 15.62 1st Qu.: 4.00 1st Qu.: 3.500 1st Qu.: 6.500 1st Qu.:10 1st Qu.:12.04
Median :32.50 Median : 29.40 Median : 6.00 Median : 4.000 Median :10.000 Median :10 Median :16.07
Mean :37.88 Mean : 34.09 Mean : 6.69 Mean : 4.212 Mean : 8.321 Mean :10 Mean :17.53
3rd Qu.:46.25 3rd Qu.: 45.98 3rd Qu.:10.00 3rd Qu.: 5.500 3rd Qu.:10.000 3rd Qu.:10 3rd Qu.:19.91
Max. :95.00 Max. :100.00 Max. :10.00 Max. :10.000 Max. :10.000 Max. :10 Max. :34.98
NA’s :1 NA’s :2 NA’s :3 NA’s :6 NA’s :4 NA’s :1 NA

KAM1101J
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%) Final Exam Score (Grade “C”)
1 2019441786 75.0 63.8 5 8.0 7.0 10 28.8 35
2 2019841622 22.5 45.0 6 4.0 10.0 10 18.1 53
3 2019260586 62.5 36.3 9 4.5 5.5 10 22.6 46
4 2019426172 93.8 86.3 10 10.0 10.0 10 37.0 22
5 2019437476 47.5 42.5 8 5.5 8.0 10 21.8 47
6 2019477706 25.0 22.5 9 5.5 10.0 10 16.0 57
7 2019421482 70.0 60.0 10 NA 7.5 10 27.0 38
8 2019698162 15.0 23.8 4 10.0 5.5 10 13.7 61
9 2019473874 43.8 66.3 10 5.0 9.0 10 25.3 41
10 2019438192 38.8 37.5 7 5.0 5.5 10 18.9 52
11 2019210324 7.5 0.0 0 2.0 NA 10 5.5 74
12 2019464914 25.0 12.5 1 NA 3.5 10 10.5 66
13 2019224702 51.3 32.5 8 4.5 5.0 10 20.1 50
14 2019441166 57.5 88.8 9 5.5 8.0 10 30.4 33
15 2019647608 86.3 87.5 10 6.5 10.0 10 35.4 24
16 2019215484 65.0 72.5 6 6.5 10.0 10 29.1 35
17 2019257694 35.0 50.0 5 7.0 10.0 10 21.2 48
18 2019263872 70.0 72.5 3 6.0 5.0 10 28.2 36
19 2019413344 32.5 35.0 10 8.0 10.0 10 19.7 51
20 2019292274 47.5 21.3 9 4.0 7.0 10 18.3 53
21 2019232902 65.0 90.0 10 10.0 10.0 10 33.3 28
22 2019461974 63.8 25.0 9 6.0 10.0 10 22.3 46
23 2018275514 40.0 62.5 7 5.0 5.0 10 22.8 45
24 2019607892 21.3 16.3 7 5.0 6.5 10 13.3 61
25 2019407274 65.0 55.0 10 10.0 10.0 10 28.0 37
26 2019226822 77.5 66.3 9 5.5 10.0 10 30.5 33
27 2019431946 68.8 97.5 10 10.0 10.0 10 34.9 25
28 2019473472 27.5 25.0 9 6.0 6.5 10 16.2 56
29 2019226258 96.3 100.0 10 10.0 10.0 10 39.4 18
30 2019203082 8.8 15.0 0 1.0 5.0 10 8.8 69
Performance Summary
Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%)
Min. : 7.50 Min. : 0.00 Min. : 0.000 Min. : 1.000 Min. : 3.500 Min. :10 Min. : 5.50
1st Qu.:28.75 1st Qu.: 25.00 1st Qu.: 6.000 1st Qu.: 5.000 1st Qu.: 5.500 1st Qu.:10 1st Qu.:18.15
Median :49.40 Median : 47.50 Median : 9.000 Median : 5.750 Median : 8.000 Median :10 Median :22.45
Mean :50.18 Mean : 50.31 Mean : 7.333 Mean : 6.286 Mean : 7.914 Mean :10 Mean :23.24
3rd Qu.:67.85 3rd Qu.: 70.95 3rd Qu.:10.000 3rd Qu.: 8.000 3rd Qu.:10.000 3rd Qu.:10 3rd Qu.:29.02
Max. :96.30 Max. :100.00 Max. :10.000 Max. :10.000 Max. :10.000 Max. :10 Max. :39.40
NA NA NA NA’s :2 NA’s :1 NA NA

KBA1191B
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%) Final Exam Score (Grade “C”)
1 2019200578 100.0 100.0 10 10 10 10 40.000 17
2 2019443274 50.0 38.8 6 10 10 10 22.520 46
3 2019261314 100.0 98.8 10 10 10 10 39.820 17
4 2019287806 92.5 100.0 10 10 10 10 38.875 19
5 2019232568 85.0 86.3 10 10 10 10 35.695 24
6 2019408714 62.5 68.8 10 10 10 10 29.695 34
7 2019223104 72.5 92.5 10 10 10 10 34.750 25
8 2019414138 67.5 77.5 7 10 10 10 31.150 31
9 2019269856 97.5 97.5 10 10 10 10 39.250 18
10 2019247104 70.0 60.0 10 10 7 10 28.900 35
11 2019202918 95.0 78.8 10 10 10 10 36.070 23
12 2019233914 100.0 98.8 10 10 10 10 39.820 17
13 2019411378 32.5 5.0 8 9 3 10 13.625 61
14 2019432246 85.0 85.0 10 10 10 10 35.500 24
15 2019407136 82.5 90.0 6 10 9 10 34.875 25
16 2019248152 100.0 91.3 10 10 10 10 38.695 19
17 2019245224 62.5 50.0 10 7 10 10 26.275 40
18 2019283118 90.0 67.5 10 8 8 10 32.825 29
19 2019428338 85.0 57.5 10 10 10 10 31.375 31
20 2019280214 72.5 93.8 10 10 10 10 34.945 25
21 2019232762 50.0 38.8 10 8 9 10 22.720 45
22 2019227064 60.0 43.8 10 3 9 10 23.970 43
23 2019292358 70.0 46.3 10 10 10 10 27.445 38
24 2019414262 70.0 38.8 10 10 10 10 26.320 39
25 2019405138 92.5 86.3 10 10 10 10 36.820 22
26 2019293866 87.5 80.0 10 10 10 10 35.125 25
27 2019431916 85.0 98.8 10 10 10 10 37.570 21
Performance Summary
Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%)
Min. : 32.50 Min. : 5.00 Min. : 6.000 Min. : 3.000 Min. : 3.000 Min. :10 Min. :13.62
1st Qu.: 68.75 1st Qu.: 53.75 1st Qu.:10.000 1st Qu.:10.000 1st Qu.:10.000 1st Qu.:10 1st Qu.:28.17
Median : 85.00 Median : 80.00 Median :10.000 Median :10.000 Median :10.000 Median :10 Median :34.88
Mean : 78.43 Mean : 72.99 Mean : 9.519 Mean : 9.444 Mean : 9.444 Mean :10 Mean :32.39
3rd Qu.: 92.50 3rd Qu.: 93.15 3rd Qu.:10.000 3rd Qu.:10.000 3rd Qu.:10.000 3rd Qu.:10 3rd Qu.:37.20
Max. :100.00 Max. :100.00 Max. :10.000 Max. :10.000 Max. :10.000 Max. :10 Max. :40.00
KBA1191C
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%) Final Exam Score (Grade “C”)
1 2019254206 67.5 73.8 10 10.0 10.0 10 31.195 31
2 2019437018 78.8 75.0 10 10.0 10.0 10 33.070 28
3 2019293222 83.8 100.0 10 10.0 10.0 10 37.570 21
4 2019431136 40.0 41.3 0 10.0 10.0 10 20.195 50
5 2019403652 67.5 87.5 10 10.0 10.0 10 33.250 28
6 2019686678 62.5 78.8 8 5.5 NA 10 27.895 37
7 2019215574 92.5 83.8 10 6.0 10.0 10 35.645 24
8 2019432266 41.3 NA 6 6.0 7.0 10 13.995 60
9 2019292798 43.8 95.0 10 10.0 10.0 10 30.820 32
10 2019648004 20.0 16.3 6 6.0 10.0 10 13.845 60
11 2019435826 83.8 88.8 6 6.0 10.0 10 34.290 26
12 2019436434 48.8 11.3 5 5.0 7.5 10 16.515 56
13 2019666572 72.5 96.3 5 6.0 10.0 10 33.520 27
14 2019258508 58.8 81.3 8 5.0 10.0 10 29.615 34
15 2019248218 65.0 42.5 8 5.0 10.0 10 24.725 42
16 2019234026 40.0 37.5 6 3.0 4.0 10 18.225 53
17 2019243288 13.8 21.3 9 5.0 5.5 10 13.165 61
18 2019211502 45.0 21.3 6 6.0 7.5 10 17.845 54
19 2019402334 12.5 3.8 8 6.0 10.0 10 11.245 65
20 2019297276 53.8 71.3 9 6.0 NA 10 25.765 40
21 2019260912 53.8 78.8 10 4.0 7.5 10 28.190 36
22 2019418058 11.3 3.8 6 6.0 10.0 10 10.665 66
23 2019210696 57.5 62.5 10 10.0 10.0 10 28.000 37
24 2019272436 47.5 58.8 10 5.5 6.0 10 24.245 43
25 2019228248 46.3 52.5 10 5.0 10.0 10 23.820 44
Performance Summary
Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%)
Min. :11.30 Min. : 3.80 Min. : 0.00 Min. : 3.00 Min. : 4.000 Min. :10 Min. :10.66
1st Qu.:41.30 1st Qu.: 33.45 1st Qu.: 6.00 1st Qu.: 5.00 1st Qu.: 7.500 1st Qu.:10 1st Qu.:17.84
Median :53.80 Median : 66.90 Median : 8.00 Median : 6.00 Median :10.000 Median :10 Median :25.77
Mean :52.32 Mean : 57.64 Mean : 7.84 Mean : 6.68 Mean : 8.913 Mean :10 Mean :24.69
3rd Qu.:67.50 3rd Qu.: 81.92 3rd Qu.:10.00 3rd Qu.:10.00 3rd Qu.:10.000 3rd Qu.:10 3rd Qu.:31.20
Max. :92.50 Max. :100.00 Max. :10.00 Max. :10.00 Max. :10.000 Max. :10 Max. :37.57
NA NA’s :1 NA NA NA’s :2 NA NA

KBA1191F
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%) Final Exam Score (Grade “C”)
1 2019402126 62.5 58.8 9 9.5 10.0 10 27.895 37
2 2019429252 41.3 23.8 7 9.5 10.0 10 19.065 52
3 2019407988 88.8 85.0 10 9.5 10.0 10 35.970 23
4 2019292004 30.0 50.0 6 10.0 10.0 10 21.200 48
5 2019420106 70.0 87.5 10 9.5 10.0 10 33.525 27
6 2018447564 55.0 35.0 9 10.0 8.0 10 22.900 45
7 2019272916 48.8 33.8 5 10.0 10.0 10 21.390 48
8 2019429038 21.3 58.8 3 5.0 3.0 10 18.215 53
9 2019427592 60.0 17.5 10 5.0 8.0 10 20.225 50
10 2019265008 73.8 57.5 6 7.5 10.0 10 28.395 36
11 2019228568 58.8 85.0 8 8.0 10.0 10 30.770 32
12 2019225642 87.5 93.8 10 10.0 10.0 10 37.195 21
13 2019413708 45.0 17.5 10 4.5 10.0 10 18.275 53
14 2019270132 100.0 97.5 10 10.0 10.0 10 39.625 17
15 2019264874 63.8 58.8 10 10.0 10.0 10 28.390 36
16 2019404522 25.0 30.0 4 4.0 10.0 10 15.850 57
17 2019418462 25.0 73.8 10 10.0 10.0 10 24.820 42
18 2019239776 71.3 47.5 9 10.0 10.0 10 27.620 37
19 2019266276 68.8 52.5 10 NA 10.0 10 26.195 40
20 2019408508 31.3 38.8 10 6.5 10.0 10 19.815 50
21 2019238796 81.3 62.5 8 10.0 8.0 10 30.770 32
22 2019223208 40.0 28.8 4 5.0 10.0 10 18.120 53
23 2019412606 75.0 70.0 10 8.0 6.0 10 30.550 32
24 2019263818 53.8 92.5 6 7.0 10.0 10 30.545 32
25 2019238748 31.3 21.3 10 10.0 8.0 10 17.490 54
26 2019401334 20.0 52.5 10 4.5 6.5 10 19.075 52
27 2019429412 58.8 87.5 8 6.0 10.0 10 30.745 32
28 2019411788 31.3 10.0 10 5.0 10.0 10 15.195 58
29 2019220372 66.3 72.5 10 6.0 10.0 10 30.020 33
30 2019289974 82.5 72.5 10 8.0 10.0 10 32.850 29
Performance Summary
Test 1 Test 2 Quiz 1 Quiz 2 Quiz 3 Assign CM (40%)
Min. : 20.00 Min. :10.00 Min. : 3.00 Min. : 4.000 Min. : 3.00 Min. :10 Min. :15.20
1st Qu.: 33.48 1st Qu.:34.10 1st Qu.: 7.25 1st Qu.: 6.000 1st Qu.:10.00 1st Qu.:10 1st Qu.:19.26
Median : 58.80 Median :58.15 Median :10.00 Median : 8.000 Median :10.00 Median :10 Median :26.91
Mean : 55.61 Mean :55.77 Mean : 8.40 Mean : 7.862 Mean : 9.25 Mean :10 Mean :25.76
3rd Qu.: 70.97 3rd Qu.:73.47 3rd Qu.:10.00 3rd Qu.:10.000 3rd Qu.:10.00 3rd Qu.:10 3rd Qu.:30.70
Max. :100.00 Max. :97.50 Max. :10.00 Max. :10.000 Max. :10.00 Max. :10 Max. :39.62
NA NA NA NA’s :1 NA NA NA

Semester 20212

KBA1111E

QMT181/216/212/STA104

Course Information

Course Learning Outcomes

At the end of the course, students should be able to:
- Explain the concept, the use and the application of basic statistical tools in descriptive and inferential statistics. (C2)
- Determine appropriate statistical solution and interpreting the real world problem. (C5)
- Propose the use of descriptive statistics in the area of computing. (A3)

Course Description

This course introduces the basic statistical concepts in general applications. The topics include basic concepts of sampling methods, method of data collection, introductory methods in descriptive and inferential statistics. Specific topics include methods of describing data, correlation & regression analysis, time series analysis, index numbers and probability. Students will be exposed to statistical project which involve analyzing primary or secondary data in enhancing their understanding in solving real problems. Statistical Analysis using Excel or SPSS will be introduced.

Syllabus Content

  1. Introduction to Statistics
    • Definition of statistics
    • Terms in statistics
    • Types of statistics
    • Sources of data
    • Types of variable
    • Scale of measurement
    • Sampling techniques
    • Data Collection Methods
  2. Describing Data
    • Data organization and presentation
    • Measures of Central Tendency
    • Measures of Location
    • Measures of Dispersion
    • Measures of Skewness
  3. Correlation & Simple Linear Regression
    • Correlation (Pearson’s Product Moment Correlation)
    • Simple linear regression
  4. Index Numbers
    • Types of index numbers
    • Calculate and explain unweighted index numbers
    • Calculate and explain weighted index number
  5. Time Series Analysis
    • Component of time series
    • Multiplicative time series model
    • Trend Analysis (Moving Average Method)
    • Seasonal Variations
    • Forecasting
  6. Probability
    • Set theory
    • Addition rules
    • Multiplication rules and conditional probability
    • Counting Rules (Permutation and Combination)
    • Tree Diagram
    • Bayes’ Theorem

Teaching Methodology

Lectures, Tutorial, Discussion

Assessment

Test 1 (Topic 1 & 2) : 15% (CLO1 -15%)
Test 2 (Topic 3 & 5) : 15% (CLO2- 15%)
Quiz (Topic 4) : 5% (CLO2- 5%)
Assignment (Topic 6 ) : 5% (CLO2 -5%)
Group Project (Topic 1 & Topic 2) : 10% (CLO 3-10%)
Final Examination : 50%

ITEM WEIGHT REMARK
Test 1 \(Topic 1 & 2\) 15% CLO1
Test 2 \(Topic 3 & 5\) 15% CLO2
Quiz \(Topic 4\) 5% CLO2
Assignment \(Topic 6\) 5% CLO2
Group Project \(Topic 1 & Topic 2\) 10% CLO3
Final Examination 50%

References

  1. William G Marchal, Samuel A Wathen Douglas A Lind, Statistical Techniques in Business and Economics - 13th Edition, 13, McGraw Hill Companies, 2007, ISBN: 9780070667075.
  2. Prem S. Mann, Introductory Statistics, 8, John Wiley & Sons, 2010, ISBN: 97804704446652.
  3. Muhammad Rozi, M & Faridah, A.H, Business Statistics, Oxford Fajar Bakti Sdn. Bhd, 2011, ISBN: 13-97898345093.
  4. Lau Too Kya, Phang Yook Ngor, Zainuddin Awang, Statistics for UiTM, 2, Penerbit Fajar Bakti Sdn. Bhd., 2009, ISBN: n/a
  5. Halilah Haron, Understanding Statistics with SPSS, 1, University Publication Center (UPENA), 2010, ISBN: 9789673631520.

Scheme of Work


Week 1


Topic 1: Introduction to Statistics

  1. Definition of statistics

  2. Terms in statistics

    • Population and sample
    • Parameter and statistic
    • Variable
    • Census and sample survey (sampling)
  3. Types of statistics

    • Descriptive statistics
    • Inferential statistics
  4. Sources of data

    • Primary data
    • Secondary data
  5. Types of variable

    • Qualitative data
    • Quantitative data (Discrete and continuous)
  6. Scale of measurement

    • Nominal
    • Ordinal
    • Interval
    • Ratio


Remark:
Complete Entrance Survey
Slides


Week 2

  1. Sampling techniques
  1. Probability Sampling
    • Simple random sampling (SRS)
    • Systematic sampling
    • Stratified sampling
    • Cluster sampling
    • Multistage sampling
  2. Nonprobability Sampling
    • Convenience sampling
    • Quota sampling
  1. Data Collection Methods
  1. Interview (Face to face and telephone)
  2. Direct Observation
  3. Questionnaire ( self administered, electronic media)
  4. thers

Remark:
Define term of sampling unit and sampling frame.

Emphasizing calculation on SRS, systematic and stratified sampling.

Guidelines to construct the questionnaires.


Week 3

Topic 2: Describing Data
Data organization and presentation

  1. Graphical method for qualitative data
    • Frequency Distribution Table
    • Pie Chart
    • Bar chart (Cluster, Stacked)
    • Cross tabulation
  2. Graphical method for quantitative data
    • Frequency Distribution Table
    • Stem and Leaf
    • Histogram
    • Frequency Polygon
    • Ogive
  3. Types of distribution

Remarks: Constructing histogram and ogive using graph paper. (compulsory)


Week 4

  1. Numerical methods
  1. Measure of central tendency for ungrouped and grouped
    • Mean
    • Median
    • Mode

Remarks:

Using calculator to obtain sample mean and standard deviation. (Substitute all the summation values into the respective formula)

Interpret result from calculation. (Emphasizing the interpretation on mean, median, mode, skewness and coefficient variation)


Week 5

  1. Measure of position for ungrouped and grouped
    • Q1, Q2 and Q3
    • IQR
    • Quartile deviation
    • Box and whisker plot

Remarks:


Week 6

  1. Measure of dispersion for ungrouped and grouped
    • Range
    • Variance
    • Standard deviation
  2. Coefficient of variation for ungrouped and grouped
  3. Measure of skewness for ungrouped and grouped

Remarks:
Using calculator to obtain sample mean and standard deviation. (Substitute all the summation values into the respective formula)
Interpret result from calculation. (Emphasizing the interpretation on mean, median, mode, skewness and coefficient variation)


Week 7

Topic 3: Correlation and Regression

  1. Correlation
    • Define dependent and independent variable
    • Scatter Plot
    • Pearson’s correlation coefficient (exclude Spearman’s rank correlation coefficient)

Remark:
Using calculator to obtain the Pearson’s Correlation Coefficient and Regression Line Equation by applying Least Square Method. (Substitute all the summation values into the respective formula)
Slides


Week 8

Topic 3: Correlation and Regression

  1. Simple Linear Regression
    • Least Squares Regression Line, \(y=a+bx\)
    • Interpretation of \(a\) and \(b\)
    • Assumptions of the Regression Model
    • Use of Regression Model For Prediction Purposes

Remark:
Using calculator Regression Line Equation by applying Least Square Method. (Substitute all the summation values into the respective formula)


Week 9

Topic 4: Index Number

  1. Types of index number

  2. Calculate and explain unweighted index number

    • Simple Relative Index
    • Simple Average Relative Index
    • Simple Aggregate Index
  3. Calculate and explain weighted index number

    • Weighted Index
    • Laspeyres’ Price and Quantity Index
    • Paasche’s Price and Quantity Index

Remark:
Slides


Week 10

Topic 5: Time Seies

  • Component of time series
  • Multiplicative time series model
  • Trend Analysis
    • Moving Average Method

Remark:
All calculation is suggested in 4 decimal places
Slides


Week 11

Topic 5: Time Series

  • Measuring the Seasonal Variations
  • Forecasting

Remark:
All calculation is suggested in 4 decimal places
Slides


Week 12

Topic 6: Introduction to Probability

  • Addition rules for probability
  • Multiplication rules and conditional probability

Remark:
Complete Exit Survey
Slides


Week 13

Topic 6: Introduction to Probability

  • Counting rules
    • Permutations
    • Combinations

Remark:
Submit Group Project Report (Assessment 3)
Slides


Week 14

Topic 6: Introduction to Probability

  • Tree Diagram
  • Bayes’s Theorem

Remark:
Slides


Group Project Guidelines

OBJECTIVES PROJECT:

The main objective of this project is to expose the students to the application of statistics techniques towards on the primary/secondary data. Besides that, to overview the students to the Final Year Project report nature.

OUTCOMES PROJECT

At the end of the project, students should be able:
1. Describe the actual data.
2. Explain and analyze the appropriate statistics techniques in analyzing the actual data.
3. Produce a good class project report.

SUGGESTED GUIDELINES FOR PROJECT

1

GROUP MEMBERS
Students are required to perform a group with 3 – 4 members. (The number of members per group depending on the number of students in the class and the number of class)


2

SOURCE OF DATA
Students are allowed to use primary / secondary data. There is no restricted on the number of sample size.


3

COVER PAGE:
Cover page should include UiTM logo, report title, name, student number and group.
Sample Cover Page


4

ACKNOWLEDGEMENT


5

STANDARD TABLE OF CONTENT


6

CONTENT OF PROJECT

  1. INTRODUCTION
    1.1 Background of Study
    1.2 Objectives of Study
  2. METHODOLOGY
    2.1 Description of Data
    • Population
    • Sample
    • Sampling technique
    • Data Collection Method
    • The descriptions on the variables (variable, types of variable and level measurement) are given as follow.
      Example : Insert Image Here
      2.2 Method of analysis (Topic 2)
  3. FINDINGS
    It should include organizing and presenting data supported by numerical descriptive measures
    • Use suitable chart/plot/table
    • Comment the chart/plot/table
  4. FORMATTING
    • Font : Arial, 11
    • Spacing : 1.5
    • Language : English Language
    • Length report : Minimum 8 pages including cover page and report content

Sample Report


7 DETAILS OF DATE SUBMISSION

Please ensure to submit the hardcopy and softcopy (burn in CD) BEFORE OR ON WEEK 13


Course Assessment

SESI 20192

KAC1102F
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz Assign Project Total (50%)
1 2018640302 10.5 14.1 5.0 NA NA 29.6
2 2018442864 4.5 8.3 5.0 5 NA 22.8
3 2018282206 13.4 14.1 5.0 NA NA 32.5
4 2018415306 6.8 8.3 5.0 5 NA 25.1
5 2018419762 7.9 12.0 4.6 5 NA 29.5
6 2018281158 8.3 8.5 5.0 5 NA 26.8
7 2018244774 10.2 11.1 5.0 NA NA 26.3
8 2018243456 9.6 6.4 3.2 5 NA 24.2
9 2018678692 6.8 4.7 4.1 5 NA 20.6
10 2018432214 10.2 13.4 5.0 NA NA 28.6
11 2018643078 10.5 13.4 5.0 NA NA 28.9
12 2018431382 4.0 10.9 2.3 NA NA 17.2
13 2018291134 7.7 5.5 2.8 5 NA 21.0
14 2018255776 4.9 9.0 5.0 5 NA 23.9
15 2018684186 14.3 13.2 5.0 5 NA 37.5
16 2018653094 12.0 12.8 5.0 5 NA 34.8
17 2018252636 5.3 7.2 4.1 5 NA 21.6
18 2018675822 10.7 13.4 3.2 5 NA 32.3
19 2018417012 9.0 10.2 5.0 5 NA 29.2
20 2018229976 7.2 8.9 3.2 5 NA 24.3
21 2018219606 13.0 11.5 3.7 5 NA 33.2
22 2018218154 7.9 12.4 5.0 5 NA 30.3
23 2018652004 11.5 12.6 5.0 5 NA 34.1
24 2018800362 8.1 8.9 2.8 5 NA 24.8
25 2018289972 8.7 9.0 NA 5 NA 22.7
26 2018803622 11.7 11.5 5.0 5 NA 33.2
Performance Summary
Test 1 Test 2 Quiz Assign Project Total (50%)
Min. : 4.000 Min. : 4.70 Min. :2.30 Min. :5 Mode:logical Min. :17.20
1st Qu.: 7.325 1st Qu.: 8.60 1st Qu.:3.70 1st Qu.:5 NA’s:26 1st Qu.:23.98
Median : 8.850 Median :11.00 Median :5.00 Median :5 NA Median :27.70
Mean : 9.027 Mean :10.43 Mean :4.36 Mean :5 NA Mean :27.50
3rd Qu.:10.650 3rd Qu.:12.75 3rd Qu.:5.00 3rd Qu.:5 NA 3rd Qu.:31.80
Max. :14.300 Max. :14.10 Max. :5.00 Max. :5 NA Max. :37.50
NA NA NA’s :1 NA’s :6 NA NA
## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                              
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##                                  Statistic       df          p            Mean difference    SE difference                 Effect Size   
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##    Test 1         Student's t     1.2998690      24.00000    0.8970038          1.5661654        1.2048640    Cohen's d     0.57472548   
##    Test 2         Student's t     0.6661604      24.00000    0.7441692          0.8127820        1.2200996    Cohen's d     0.29453685   
##    Quiz           Student's t     0.8657397      23.00000    0.8022130          0.3531746        0.4079455    Cohen's d     0.38563113   
##    Assign         Student's t           NaN <U+1D43>                                                                 Cohen's d                  
##    Total (50%)    Student's t    -0.1521666      24.00000    0.4401637         -0.3518797        2.3124630    Cohen's d    -0.06727912   
##  --------------------------------------------------------------------------------------------------------------------------------------- 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
##    <U+1D43> All observations are tied
## 
## 
##  Group Descriptives                                                                 
##  ---------------------------------------------------------------------------------- 
##                   Group    N     Mean         Median       SD           SE          
##  ---------------------------------------------------------------------------------- 
##    Test 1         L         7    10.171429    10.200000    1.9293473    0.7292247   
##                   P        19     8.605263     8.100000    2.9428772    0.6751423   
##                                                                                     
##    Test 2         L         7    11.028571    13.400000    3.9071363    1.4767587   
##                   P        19    10.215789    10.200000    2.2504970    0.5162994   
##                                                                                     
##    Quiz           L         7     4.614286     5.000000    0.7081162    0.2676428   
##                   P        18     4.261111     5.000000    0.9786779    0.2306766   
##                                                                                     
##    Assign         L         2     5.000000     5.000000    0.0000000    0.0000000   
##                   P        18     5.000000     5.000000    0.0000000    0.0000000   
##                                                                                     
##    Total (50%)    L         7    27.242857    28.600000    3.9169959    1.4804853   
##                   P        19    27.594737    26.800000    5.5998486    1.2846934   
##  ----------------------------------------------------------------------------------
KBA1193A
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz Assign Project Total (50%)
1 2017167401 3.0 4.2 0.0 5 NA 12.2
2 2017648654 7.2 7.5 1.4 NA NA 16.1
3 2017500635 6.8 12.4 2.3 5 NA 26.5
4 2017310341 1.2 5.9 1.4 NA NA 8.5
5 2017665022 5.5 0.0 0.0 NA NA 5.5
6 2017435914 5.5 3.6 3.2 NA NA 12.3
7 2017435892 2.7 0.0 0.0 NA NA 2.7
8 2017501027 4.2 6.0 3.2 NA NA 13.4
9 2017310857 6.4 4.0 2.8 NA NA 13.2
10 2017324165 5.3 5.5 2.8 NA NA 13.6
11 2017362469 6.0 13.4 5.0 NA NA 24.4
12 2017513063 9.8 11.5 4.1 5 NA 30.4
13 2017333593 5.1 12.4 5.0 5 NA 27.5
14 2017183905 9.0 12.2 5.0 NA NA 26.2
15 2017665166 6.8 10.7 3.2 5 NA 25.7
16 2017410366 4.9 7.7 2.8 NA NA 15.4
17 2017324345 8.7 11.3 3.0 NA NA 23.0
18 2017500081 3.8 5.1 1.4 NA NA 10.3
19 2017665262 9.8 14.3 5.0 5 NA 34.1
20 2017189279 1.9 4.7 2.8 NA NA 9.4
Performance Summary
Test 1 Test 2 Quiz Assign Project Total (50%)
Min. :1.20 Min. : 0.000 Min. :0.000 Min. :5 Mode:logical Min. : 2.70
1st Qu.:4.10 1st Qu.: 4.575 1st Qu.:1.400 1st Qu.:5 NA’s:20 1st Qu.:11.72
Median :5.50 Median : 6.750 Median :2.800 Median :5 NA Median :14.50
Mean :5.68 Mean : 7.620 Mean :2.720 Mean :5 NA Mean :17.52
3rd Qu.:6.90 3rd Qu.:11.675 3rd Qu.:3.425 3rd Qu.:5 NA 3rd Qu.:25.82
Max. :9.80 Max. :14.300 Max. :5.000 Max. :5 NA Max. :34.10
NA NA NA NA’s :14 NA NA
## 
##  INDEPENDENT SAMPLES T-TEST
## 
##  Independent Samples T-Test                                                                                                             
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##                                  Statistic      df          p            Mean difference    SE difference                 Effect Size   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Test 1         Student's t    -1.386066      18.00000    0.0913295          -1.573626        1.1353184    Cohen's d     -0.6497978   
##    Test 2         Student's t    -4.630146      18.00000    0.0001040          -6.602198        1.4259156    Cohen's d     -2.1706460   
##    Quiz           Student's t    -2.208481      18.00000    0.0202096          -1.547253        0.7005958    Cohen's d     -1.0353521   
##    Assign         Student's t          NaN <U+1D43>                                                                 Cohen's d                  
##    Total (50%)    Student's t    -3.170795 <U+1D47>    18.00000    0.0026457         -10.931868        3.4476742    Cohen's d     -1.4864916   
##  -------------------------------------------------------------------------------------------------------------------------------------- 
##    Note. H<U+2090> µ <sub>L</sub> < µ <sub>P</sub>
##    <U+1D43> All observations are tied
##    <U+1D47> Levene's test is significant (p < .05), suggesting a violation of the assumption of equal variances
## 
## 
##  Group Descriptives                                                                
##  --------------------------------------------------------------------------------- 
##                   Group    N     Mean         Median       SD          SE          
##  --------------------------------------------------------------------------------- 
##    Test 1         L         7     4.657143     5.300000    1.393864    0.5268311   
##                   P        13     6.230769     6.800000    2.797435    0.7758688   
##                                                                                    
##    Test 2         L         7     3.328571     4.000000    2.425362    0.9167007   
##                   P        13     9.930769    11.300000    3.306908    0.9171713   
##                                                                                    
##    Quiz           L         7     1.714286     2.800000    1.611861    0.6092261   
##                   P        13     3.261538     3.000000    1.432095    0.3971918   
##                                                                                    
##    Assign         L         1     5.000000     5.000000         NaN          NaN   
##                   P         5     5.000000     5.000000    0.000000    0.0000000   
##                                                                                    
##    Total (50%)    L         7    10.414286    12.300000    4.420192    1.6706755   
##                   P        13    21.346154    24.400000    8.447250    2.3428455   
##  ---------------------------------------------------------------------------------
KBA1193A-1
Continuous Assessment (40%)
Bil No Pelajar Test 1 Test 2 Quiz Assign Project Total (50%)
1 2017246004 5.3 7.2 4.6 NA NA 17.1
Performance Summary
Test 1 Test 2 Quiz Assign Project Total (50%)
Min. :5.3 Min. :7.2 Min. :4.6 Mode:logical Mode:logical Min. :17.1
1st Qu.:5.3 1st Qu.:7.2 1st Qu.:4.6 NA’s:1 NA’s:1 1st Qu.:17.1
Median :5.3 Median :7.2 Median :4.6 NA NA Median :17.1
Mean :5.3 Mean :7.2 Mean :4.6 NA NA Mean :17.1
3rd Qu.:5.3 3rd Qu.:7.2 3rd Qu.:4.6 NA NA 3rd Qu.:17.1
Max. :5.3 Max. :7.2 Max. :4.6 NA NA Max. :17.1

SESI 20212

KBA1113B
KBA1193A

SESI 20222

KBA1193A

MAT402

Course Information


Continuous Assessment Marks

KAM2281A

Continuous Assessment
Continuous Assessment (40%)
BIL NO PELAJAR T1 T2 T3 Q1 Q2 Q3 A1 A2 CM
1 2021813344 100 60 50 50 60 50 100 50 27.2
2 2021614298 75 80 70 60 100 50 100 100 30.7
3 2021485222 75 70 85 70 70 80 90 90 31.0
4 2021888176 50 60 70 50 50 50 100 100 25.0
5 2021481102 50 100 50 50 100 100 100 100 29.0
6 2021461576 60 50 50 50 50 50 50 50 21.0
7 2021829322 100 80 20 100 100 100 60 60 28.4
8 2021461336 50 80 60 50 50 50 50 60 24.2
9 2021886884 75 85 65 80 85 65 100 100 31.1
10 2021885622 50 70 65 60 50 80 100 100 26.3
11 2021454038 90 80 50 50 100 100 100 100 31.0
12 2021461796 100 70 50 100 100 100 100 100 32.0
13 2021855818 80 100 100 50 100 100 100 100 37.0
14 2021495044 60 100 70 60 50 100 100 100 31.2
15 2021856482 90 90 50 100 80 100 100 100 32.6
16 2021850036 65 70 100 60 50 50 100 100 30.7
17 2021829356 100 100 100 60 100 100 100 100 39.2
18 2021462242 75 80 85 50 50 100 100 100 32.0
19 2020830906 70 70 50 50 100 50 100 60 26.2
20 2021858884 100 100 50 100 60 100 100 60 33.4
21 2020489382 60 70 70 50 50 100 100 100 28.0
22 2021477156 50 90 50 50 60 50 100 100 26.2
23 2020897218 100 80 70 60 60 70 80 100 32.4
24 2021603618 60 80 65 50 60 50 100 100 27.7
25 2020852812 100 70 50 50 80 50 50 100 28.6
26 2021481254 100 100 80 100 80 100 100 100 37.6
27 2021453916 100 80 50 50 60 50 100 100 30.2
28 2021609482 50 100 50 50 50 50 100 100 27.0
29 2021885856 100 80 50 100 50 50 100 100 31.0
30 2021885804 50 70 50 100 50 100 100 100 26.0
Performance Summary
Performance Summary
T1 T2 T3 Q1 Q2 Q3 A1 A2 CM
Min. : 50.00 Min. : 50.0 Min. : 20.0 Min. : 50.00 Min. : 50.00 Min. : 50.00 Min. : 50.00 Min. : 50 Min. :21.00
1st Qu.: 60.00 1st Qu.: 70.0 1st Qu.: 50.0 1st Qu.: 50.00 1st Qu.: 50.00 1st Qu.: 50.00 1st Qu.:100.00 1st Qu.:100 1st Qu.:27.05
Median : 75.00 Median : 80.0 Median : 55.0 Median : 55.00 Median : 60.00 Median : 75.00 Median :100.00 Median :100 Median :30.45
Mean : 76.17 Mean : 80.5 Mean : 62.5 Mean : 65.33 Mean : 70.17 Mean : 74.83 Mean : 92.67 Mean : 91 Mean :29.80
3rd Qu.:100.00 3rd Qu.: 90.0 3rd Qu.: 70.0 3rd Qu.: 77.50 3rd Qu.: 96.25 3rd Qu.:100.00 3rd Qu.:100.00 3rd Qu.:100 3rd Qu.:31.80
Max. :100.00 Max. :100.0 Max. :100.0 Max. :100.00 Max. :100.00 Max. :100.00 Max. :100.00 Max. :100 Max. :39.20